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Finding the Third Proportional to 98,713.50 and 148,959

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Solution

The third proportional to 98,713.50 and 148,959 is: 224,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.50 : 148,959 = 148,959 : x
  2. Step 2: Convert to fraction form
    98,713.50/148,959 = 148,959/x
  3. Step 3: Cross multiply
    98,713.50x = 148,959 × 148,959
  4. Step 4: Simplify right side
    98,713.50x = 22,188,783,681
  5. Step 5: Solve for x
    x = 22,188,783,681/98,713.50
  6. Step 6: Final answer
    x = 224,779.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.